Can I have a matrix of variables?

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Can I have a matrix of variables, e.g.,

$$\begin{bmatrix} x & x^2 & \ln(x) & \sqrt{x} \end{bmatrix}?$$

If true, can I take the limit as $x \to c$ of a matrix?

My thought is that you can raise $e$ to a matrix power, since $e$ is a continuous function. The limit of $e$ to the matrix is the same as $e$ to the limit of the matrix, hence, the limit of a matrix is possible.